706125888 has 168 divisors, whose sum is σ = 2195922456. Its totient is φ = 215654400.

The previous prime is 706125887. The next prime is 706125961. The reversal of 706125888 is 888521607.

706125888 is a `hidden beast` number, since 7 + 0 + 61 + 2 + 588 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44195904 + 661929984 = 6648^2 + 25728^2 .

It is a super-2 number, since 2×706125888² = 997227539407577088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (706125883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1355068 + ... + 1355588.

It is an arithmetic number, because the mean of its divisors is an integer number (13070967).

Almost surely, 2^706125888 is an apocalyptic number.

706125888 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097961228).

706125888 is an abundant number, since it is smaller than the sum of its proper divisors (1489796568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

706125888 is a wasteful number, since it uses less digits than its factorization.

706125888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 706125888 is about 26573.0293342705. The cubic root of 706125888 is about 890.4865781846.

The spelling of 706125888 in words is "seven hundred six million, one hundred twenty-five thousand, eight hundred eighty-eight".